A physico-mathematical model of dynamics of a particle size distribution function taking into account processes of coagulation, evaporation, and sedimentation

The mathematical model is based on the Smoluchowski equation describing the dynamics of the change of the size distribution function for liquid-drop aerosol particles with allowance for evaporation and sedimentation. Applying the theory of dimensions, it is possible to receive the criteria characterizing the relative efficiency of coagulation and evaporation processes. The parametrical analysis of the equations in a dimensionless form is carried out. Results of the experimental research of disperse parameters of aerosol are presented.